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3 years ago

1. standard position

Mathematics

1 answer:

konstantin123 [22]3 years ago

3 0

Answer:

An angle is in standard position if its vertex is located at the origin and one ray is on the positive x-axis.

Step-by-step explanation:

The ray on the x-axis is called the initial side and the other ray is called the terminal side.

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Step-by-step explanation:

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-6 - - 6 / 7 - 3

= 0 / 4 = 0

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An inequality is shown: −np − 4 ≤ 2(c − 3) Which of the following solves for n?

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Answer:

$\huge\boxed{n\leq\dfrac{2-2c}{p}\ \text{for}\ p0}$

Step-by-step explanation:

$-np-4\leq2(c-3)\qquad\text{use the distributive property}\\\\-np-4\leq2c-6\qquad\text{add 4 to both sides}\\\\-np\leq2c-2\qquad\text{change the signs}\\\\np\geq2-2c\qquad\text{divide both sides by}\ p\neq0\\\\\text{If}\ p0 ,\ \text{then}\\\boxed{n\geq\dfrac{2-2c}{p}}$

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3 years ago

15. A cylindrical glass 10 cm tall and 8 cm in diameter is filled to 1 cm

ANTONII [103]

Answer:

No. The new height of the water is less than the height of the glass(6.33 cm<10 cm)

Step-by-step explanation:

-For the water in the glass to overflow, the volume of the inserted solid must be greater than the volume of the empty space or the ensuing height of water >height of glass.

#Volume of the golf ball:

$V=\frac{4}{3}\pi r^3\\\\=\frac{4}{3}\pi \times 4^3\\\\\approx 268.08\ cm^3$

#The volume of the water in the glass:

$V=\pi r^2 h\\\\=\pi \times 4^2\times 10\\\\\approx 50.27\ cm^2$

We then equate the two volumes to the glass' volume to determine the new height of the water:

$V=\pi r^2h\\\\(206.08+50.27)=\pi r^2 h\\\\h=318.35/(\pi \times 4^2)\\\\=6.33\ cm$

Hence, the glass will not overflow since the new height of the water is less than the height of the glass(6.33 cm<10cm).

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3 years ago

Maria takes guitar lessons that last 4/5 of an hour. She had 4 lessons last week. What is the total number of hours Maria spent

Mazyrski [523]

192 minutes or 3 hours and 12 minutes

an hour is 60 minutes and 60 divided by five is 12 so i multiplied 12 by 4, which is 48 and multiplied 48 by 4 and i got my answer

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3 years ago

1. standard position ​

1. standard position